Results 41 to 50 of about 34,283 (120)

General Relativistic Space-Time with η₁-Einstein Metrics

Mathematics, 2022
The present research paper consists of the study of an η1-Einstein soliton in general relativistic space-time with a torse-forming potential vector field.
Yanlin Li, Fatemah Mofarreh, Santu Dey, Soumendu Roy, Akram Ali   +4 more
doaj   +1 more source

On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons

Karpatsʹkì Matematičnì Publìkacìï, 2021
The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
doaj   +1 more source

SOME NOTES ON KENMOTSU MANIFOLD [PDF]

, 2021
In the present paper, we deal with a Kenmotsu manifold $M$. Firstly, we study the notion of torse-forming vector field on such a manifold. Then, we investigate some curvature conditions such as $Q.\mathcal{M}=0$ and $C.Q=0$ on such a manifold and obtain ...
Yasar, Erol, Yoldaş, Halil İbrahim
core   +1 more source

On 3-Dimensional (ε,δ)-Trans-Sasakian Structure [PDF]

, 2013
The object of present paper is to study 3-dimensional $(\varepsilon,\delta)$-trans-Sasakian manifold admitting Ricci solitons and $K$-torse forming vector fields.
Maralabhavi, Y.B., Shivaprasanna, G. S., Somashekhara, G.   +2 more
core   +1 more source

A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time [PDF]

, 2016
A perfect-fluid space-time of dimension n>3 with 1) irrotational velocity vector field, 2) null divergence of the Weyl tensor, is a generalised Robertson-Walker space-time with Einstein fiber. Condition 1) is verified whenever pressure and energy density
De, Uday Chand, Mantica, Carlo Alberto, Molinari, Luca Guido   +2 more
core   +2 more sources

CERTAIN RESULTS OF RICCI-YAMABE SOLITONS ON $(LCS)_N$-MANIFOLDS [PDF]

, 2022
The goal of this paper is to characterize Lorentzian concircular structure manifolds (briefly, $(LCS)_n$-manifolds) admitting Ricci-Yamabe solitons.
Singh, Jay Prakash, Zosangzuala, Chhakchhuak   +1 more
core   +1 more source

Cosmological perfect-fluids in f(R) gravity [PDF]

, 2018
We show that an n-dimensional generalized Robertson-Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress-energy tensor for any f(R) gravity model.
Capozziello, Salvatore, Mantica, Carlo Alberto, Molinari, Luca Guido   +2 more
core   +2 more sources

On tensor fields semiconjugated with torse-forming vector fields [PDF]

, 2005
summary:The paper deals with tensor fields which are semiconjugated with torse-forming vector fields.
Lukáš Rachůnek, Josef Mikeš
openalex   +3 more sources

DIFFEOMORPHISM OF AFFINE CONNECTED SPACES WHICH PRESERVED RIEMANNIAN AND RICCI CURVATURE TENSORS [PDF]

, 2017
Organ size regulation is dependent on the precise spatial and temporal regulation of cell proliferation and cell expansion. A number of transcription factors have been identified that play a key role in the determination of aerial lateral organ size, but
Bacso, Sandor, Berezovski, Volodymyr, Mikes, Josef   +2 more
core   +6 more sources

On a class of exact locally conformal cosymlectic manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 267-278, 1996., 1994
An almost cosymplectic manifold M is a (2m + 1)‐dimensional oriented Riemannian manifold endowed with a 2‐form Ω of rank 2m, a 1‐form η such that Ωm Λ η ≠ 0 and a vector field ξ satisfying iξΩ = 0 and η(ξ) = 1. Particular cases were considered in [3] and [6].
I. Mihai, L. Verstraelen, R. Rosca
wiley   +1 more source